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Finding the Fourth Proportional to 35,862.88, 53,794.30 and 10,902.84

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Solution

The fourth proportional to 35,862.88, 53,794.30 and 10,902.84 is: 16,354.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,862.88 : 53,794.30 = 10,902.84 : x
  2. Step 2: Convert to fraction form
    35,862.88/53,794.30 = 10,902.84/x
  3. Step 3: Cross multiply
    35,862.88x = 53,794.30 × 10,902.84
  4. Step 4: Simplify right side
    35,862.88x = 586,510,645.81
  5. Step 5: Solve for x
    x = 586,510,645.81/35,862.88
  6. Step 6: Final answer
    x = 16,354.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.